Abstract
In this paper, using a recent parabolic restriction estimate of Tao, we obtain improved partial results in the direction of Falconer's distance set conjecture in dimensions $d\geq 3$.
Citation
M. Burak Erdoğan . "On Falconer's distance set conjecture." Rev. Mat. Iberoamericana 22 (2) 649 - 662, September, 2006.
Information
Published: September, 2006
First available in Project Euclid: 26 October 2006
zbMATH: 1141.42007
MathSciNet: MR2294792
Subjects:
Primary:
42B10
Keywords:
distance sets
,
Fourier restriction estimates
,
Frostman measures
Rights: Copyright © 2006 Departamento de Matemáticas, Universidad Autónoma de Madrid
